Atkin-Lehner |
2- 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
71400cg |
Isogeny class |
Conductor |
71400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-52898832000000 = -1 · 210 · 34 · 56 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5392,313212] |
[a1,a2,a3,a4,a6] |
Generators |
[6:588:1] [38:756:1] |
Generators of the group modulo torsion |
j |
1083360092/3306177 |
j-invariant |
L |
8.2800870252418 |
L(r)(E,1)/r! |
Ω |
0.44489494540595 |
Real period |
R |
4.6528327140816 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2856c4 |
Quadratic twists by: 5 |